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Finding the Fourth Proportional to 3,028.33, 4,542.47 and 807.38

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Solution

The fourth proportional to 3,028.33, 4,542.47 and 807.38 is: 1,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.33 : 4,542.47 = 807.38 : x
  2. Step 2: Convert to fraction form
    3,028.33/4,542.47 = 807.38/x
  3. Step 3: Cross multiply
    3,028.33x = 4,542.47 × 807.38
  4. Step 4: Simplify right side
    3,028.33x = 3,667,506.75
  5. Step 5: Solve for x
    x = 3,667,506.75/3,028.33
  6. Step 6: Final answer
    x = 1,211.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.